Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
7728s |
Isogeny class |
Conductor |
7728 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-350212539285504 = -1 · 225 · 33 · 75 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -4 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-82104,9072468] |
[a1,a2,a3,a4,a6] |
j |
-14943832855786297/85501108224 |
j-invariant |
L |
3.2511480971095 |
L(r)(E,1)/r! |
Ω |
0.54185801618492 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
966b1 30912bl1 23184bl1 54096cb1 |
Quadratic twists by: -4 8 -3 -7 |